x^2-13x+82=0

Solution for x^2-13x+82=0 equation:

Simplifying
x2 + -13x + 82 = 0

Reorder the terms:
82 + -13x + x2 = 0

Solving
82 + -13x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-82' to each side of the equation.
82 + -13x + -82 + x2 = 0 + -82

Reorder the terms:
82 + -82 + -13x + x2 = 0 + -82

Combine like terms: 82 + -82 = 0
0 + -13x + x2 = 0 + -82
-13x + x2 = 0 + -82

Combine like terms: 0 + -82 = -82
-13x + x2 = -82

The x term is -13x.  Take half its coefficient (-6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
-13x + 42.25 + x2 = -82 + 42.25

Reorder the terms:
42.25 + -13x + x2 = -82 + 42.25

Combine like terms: -82 + 42.25 = -39.75
42.25 + -13x + x2 = -39.75

Factor a perfect square on the left side:
(x + -6.5)(x + -6.5) = -39.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.